Mathematical Logic

Name: Mathematical Logic
Brand: Springer, Berlin
SKU: 9783030790127
Price: 158.65 RON
Availability: InStock

Exercises and Solutions

Autor: Laszlo Csirmaz, Zalán Gyenis

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Legare: Carte broșată

Editura: Springer, Berlin

Disponibilitate: În depozitul extern

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This book gathers together a colorful set of problems on classical Mathematical Logic, selected from...

Informații despre carte

Autor

Laszlo Csirmaz, Zalán Gyenis

Limbă

engleză

Legare

Carte - Carte broșată

Publicat

2023

Pagini

319

EAN

9783030790127

Enbook ID

43049858

Editura

Springer, Berlin

Greutate

628

Dimensiuni

178 x 254

Descriere completă

This book gathers together a colorful set of problems on classical Mathematical Logic, selected from over 30 years of teaching. The initial chapters start with problems from supporting fields, like set theory (ultrafilter constructions), full-information game theory (strategies), automata, and recursion theory (decidability, Kleene's theorems). The work then advances toward propositional logic (compactness and completeness, resolution method), followed by first-order logic, including quantifier elimination and the Ehrenfeucht- Fraïssé game; ultraproducts; and examples for axiomatizability and non-axiomatizability. The Arithmetic part covers Robinson's theory, Peano's axiom system, and Gödel's incompleteness theorems. Finally, the book touches universal graphs, tournaments, and the zero-one law in Mathematical Logic.Instructors teaching Mathematical Logic, as well as students who want to understand its concepts and methods, can greatly benefit from this work. The style and topics have been specially chosen so that readers interested in the mathematical content and methodology could follow the problems and prove the main theorems themselves, including Gödel's famous completeness and incompleteness theorems. Examples of applications on axiomatizability and decidability of numerous mathematical theories enrich this volume.

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Mathematical Logic

Exercises and Solutions

Informații despre carte

Descriere completă

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